Modular functions: uniform boundedness and compactness
type: Item
instance of: scholarly article
title: Modular functions: uniform boundedness and compactness
zbMATH Open document ID: 0931.28009
DOI: 10.1007/BF02844366
author: Anna Avallone
author: Maria Antonietta Lepellere
publication date: 1998-09-28T00:00:00Z
review text: The authors prove a Nikodým boundedness theorem, a Brooks-Jewitt theorem and a Vitali-Hahn-Saks theorem for measures on orthomodular lattices as well as for modular functions on complemented lattices. Moreover, the paper contains several compactness theorems in spaces of modular functions on complemented lattices.
reviewed by: Hans Weber
Mathematics Subject Classification ID: 28B10
Mathematics Subject Classification ID: 46G99
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 1203695
zbMATH Keywords: uniform boundedness
zbMATH Keywords: convergence theorems
zbMATH Keywords: complemented lattices
zbMATH Keywords: compactness
zbMATH Keywords: modular functions
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02844366
OpenAlex ID: W2028723538
published in: Rendiconti del Circolo Matematico di Palermo
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description: scientific article; zbMATH DE number 1203695